On the modes of the Poisson distribution of order k
Statistics Theory
2013-01-07 v4 Statistics Theory
Abstract
Sharp upper and lower bounds are established for the modes of the Poisson distribution of order k. The lower bound established in this paper is better than the previously established lower bound. In addition, for k = 2, 3, 4, 5, a recent conjecture is presently proved solving partially an open problem since 1983.
Keywords
Cite
@article{arxiv.1204.3186,
title = {On the modes of the Poisson distribution of order k},
author = {Constantinos Georghiou and Andreas N. Philippou and Abolfazl Saghafi},
journal= {arXiv preprint arXiv:1204.3186},
year = {2013}
}
Comments
This article is related to several papers published in the Fibonacci Quarterly and solves partially an open problem since 1983, which was posed again and published in the Proceedings of the Thirteenth International Conference on Fibonacci Numbers and their Applications, Congressus Numerantium, 201 (2010), 382-383